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Finding the Third Proportional to 459,381 and 673,492.50

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Solution

The third proportional to 459,381 and 673,492.50 is: 987,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,381 : 673,492.50 = 673,492.50 : x
  2. Step 2: Convert to fraction form
    459,381/673,492.50 = 673,492.50/x
  3. Step 3: Cross multiply
    459,381x = 673,492.50 × 673,492.50
  4. Step 4: Simplify right side
    459,381x = 453,592,147,556.25
  5. Step 5: Solve for x
    x = 453,592,147,556.25/459,381
  6. Step 6: Final answer
    x = 987,398.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.